Periodic multiresolution analysis using quasi-orthogonals splines

Author(s):  
L.C. Maiaru ◽  
J.L.C. Sanz ◽  
M. Flickner
1999 ◽  
Vol 42 (2) ◽  
pp. 225-242 ◽  
Author(s):  
Jürgen Prestin ◽  
Ewald Quak

In this paper, it is shown that certain Theta functions are asymptotically optimal for the periodic time frequency uncertainty principle described by Breitenberger in [3]. These extremal functions give rise to a periodic multiresolution analysis where the corresponding wavelets also show similar localization properties.


2000 ◽  
Vol 20 (79) ◽  
pp. 356-364
Author(s):  
Taro SEKINE ◽  
Masahiro TAKEI ◽  
Michiharu OKANO ◽  
Hiroyasu NAGAE ◽  
Yoshifuru SAITO ◽  
...  

Electronics ◽  
2021 ◽  
Vol 10 (9) ◽  
pp. 1023
Author(s):  
Arigela Satya Veerendra ◽  
Akeel A. Shah ◽  
Mohd Rusllim Mohamed ◽  
Chavali Punya Sekhar ◽  
Puiki Leung

The multilevel inverter-based drive system is greatly affected by several faults occurring on switching elements. A faulty switch in the inverter can potentially lead to more losses, extensive downtime and reduced reliability. In this paper, a novel fault identification and reconfiguration process is proposed by using discrete wavelet transform and auxiliary switching cells. Here, the discrete wavelet transform exploits a multiresolution analysis with a feature extraction methodology for fault identification and subsequently for reconfiguration. For increasing the reliability, auxiliary switching cells are integrated to replace faulty cells in a proposed reduced-switch 5-level multilevel inverter topology. The novel reconfiguration scheme compensates open circuit and short circuit faults. The complexity of the proposed system is lower relative to existing methods. This proposed technique effectively identifies and classifies faults using the multiresolution analysis. Furthermore, the measured current and voltage values during fault reconfiguration are close to those under healthy conditions. The performance is verified using the MATLAB/Simulink platform and a hardware model.


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